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EURASIP Journal on Wireless Communications and Networking

Table 1 Degree profiles for LDPC codes generated by the proposed design algorithm

From: Distributed joint source-channel code design for GMAC using irregular LDPC codes

 

σ 2

 

0.3

0.4

0.5

0.6

ρ(x)

x 9

x 8

x 7

x 6

λ(x)

0.284x+0.3124x2

0.3012x+0.3321x2

0.3111x+0.3544x2

0.4411x+0.4235x2

 

+0.0222x4+0.1344x7

+0.0982x3+0.1322x10

+0.1655x3+0.0786x11

0.0233x17+0.0321x17

 

+0.0977x8+0.1277x19

+0.1363x99

+0.0321x16+0.0583x99

+0.0682x99

 

+0.08x99

   

R c

0.5614

0.5226

0.4857

0.4528

I ind

0.5014

0.4731

0.4393

0.4113

I c

0.6328

0.6017

0.5744

0.5509

  1. For binary sources with α = 0.1 and different channel noise levels σ2. R c is the code rate, I ind = 1 2 I( X 1 , X 2 ;Y|α=0.5) is the maximum code rate achievable (channel capacity) with independent sources, and I c = 1 2 I( X 1 , X 2 ;Y|α=0.1) is the actual value of the joint mutual information of the DJSC code.
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